Certain fractional integral operators and extended generalized Gauss hypergeometric functions

Junesang Choi; Praveen Agarwal; Shilpi Jain

doi:10.5666/KMJ.2015.55.3.695

Certain fractional integral operators and extended generalized Gauss hypergeometric functions

Junesang Choi
, Praveen Agarwal
, Shilpi Jain

Dongguk University
International College of Engineering
Poornima College of Engineering

Research output: Contribution to journal › Article › peer-review

27 Scopus citations

Abstract

Several interesting and useful extensions of some familiar special functions such as Beta and Gauss hypergeometric functions and their properties have, recently, been investigated by many authors. Motivated mainly by those earlier works, we establish some fractional integral formulas involving the extended generalized Gauss hypergeometric function by using certain general pair of fractional integral operators involving Gauss hypergeometric function ₂F₁, Some interesting special cases of our main results are also considered.

Original language	English
Pages (from-to)	695-703
Number of pages	9
Journal	Kyungpook Mathematical Journal
Volume	55
Issue number	3
DOIs	https://doi.org/10.5666/KMJ.2015.55.3.695
State	Published - 2015
Externally published	Yes

Keywords

Beta function
Extended generalized Gauss hypergeometric functions
Extended generalized beta functions
Fractional integral operators
Gamma function
Generalized hypergeometric functions

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10.5666/KMJ.2015.55.3.695

Cite this

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abstract = "Several interesting and useful extensions of some familiar special functions such as Beta and Gauss hypergeometric functions and their properties have, recently, been investigated by many authors. Motivated mainly by those earlier works, we establish some fractional integral formulas involving the extended generalized Gauss hypergeometric function by using certain general pair of fractional integral operators involving Gauss hypergeometric function 2F1, Some interesting special cases of our main results are also considered.",

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author = "Junesang Choi and Praveen Agarwal and Shilpi Jain",

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AU - Agarwal, Praveen

AU - Jain, Shilpi

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PY - 2015

Y1 - 2015

N2 - Several interesting and useful extensions of some familiar special functions such as Beta and Gauss hypergeometric functions and their properties have, recently, been investigated by many authors. Motivated mainly by those earlier works, we establish some fractional integral formulas involving the extended generalized Gauss hypergeometric function by using certain general pair of fractional integral operators involving Gauss hypergeometric function 2F1, Some interesting special cases of our main results are also considered.

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KW - Beta function

KW - Extended generalized Gauss hypergeometric functions

KW - Extended generalized beta functions

KW - Fractional integral operators

KW - Gamma function

KW - Generalized hypergeometric functions

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ER -

Certain fractional integral operators and extended generalized Gauss hypergeometric functions

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Keywords

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